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THEOREM OF CORRESPONDING STATES. ₁₈₉

162 It appears from what has been said that, by the intro-
duction of the new variables, all the equation of the proble*! have
again taken the form which they have when there is no translation
This at once, leads to the following conclusion: ^^tion.

i • F'A 'I ^ ^ay8tem ^Ut ^reSt' ^there ^Cim ^63dsf; ^a stete of things in
which d, h and p arc certain functions of _x, _y, _M _and _t _the J -

system can be the seat of phenomena - in which the vectors d' h' n
are the same functions of the relative coordinates x', y' / and the
local time t. ^J '

The theorem may be extended to the mean values of d, h or
d, h, the eleotnc moment P per unit of volume, and also to the
vector D which we have introduced in § 114, compared with a similar
one that may be defined for the moving system If for the on A
system, wo put * '

(I - E, h * H, D - E + P,
and for the other

d'... E', if'-H', D'-E'+P,

the result is, that for each state in which E, H, D are certain tone-
tions of *, y g t, thure. is a corresponding state in the moving system,
oharaoterisBed by values of E', H', D' which depend in the same way

OH Jt/ , y > 3 *

163. The value of Kreanei'a coefficient follows m m immediate
consequence from thui general theorem. Let us suppose thufc in a
transparent ponderable body without translation, there is a proportion
of light waves,, m which the components of E and H are represented

by expressions of the form

. ,
fj i

where «, ft, y ,_iro tho cliroctioit c»si«_w of tho normal to the wave,
and » the. yolonty of propstgtdion, Thwi, MrroHpgmiinir to feu. we
may huvc in th« nam, body whil, in _ttlt)ti_on phenomena that may
hkewuw be dwuTiW _tt« a propagation of light waves, and which

are rppnwwitwt by «»xprnHHioiw of tho form

i, e., on account of (SJ7(J),

a COH n (t ..... ^w^" •*•- ^w^' t.^w»''
\ «?»

If we put here



	THEOREM OF CORRESPONDING STATES. ₁₈₉ 162 It appears from what has been said that, by the intro- duction of the new variables, all the equation of the proble! have again taken the form which they have when there is no translation This at once, leads to the following conclusion: ^^tion. i • F'A 'I* ^ ^ay8tem ^Ut ^reSt' ^there ^Cim ^63dsf; ^a stete of things in which d, h and p arc certain functions of _x, _y, _M _and _t _the J - system can be the seat of phenomena - in which the vectors d' h' n are the same functions of the relative coordinates x', y' / and the local time t. ^J ' The theorem may be extended to the mean values of d, h or d, h, the eleotnc moment P per unit of volume, and also to the vector D which we have introduced in § 114, compared with a similar one that may be defined for the moving system If for the on A system, wo put * ' (I - E, h * H, D - E + P, and for the other d'... E', if'-H', D'-E'+P, the result is, that for each state in which E, H, D are certain tone- tions of , y g t,* thure. is a corresponding state in the moving system, oharaoterisBed by values of E', H', D' which depend in the same way OH Jt/ , y > 3 * 163. The value of Kreanei'a coefficient follows m m immediate consequence from thui general theorem. Let us suppose thufc in a transparent ponderable body without translation, there is a proportion of light waves,, m which the components of E and H are represented by expressions of the form

	. , fj i where «, ft, y ,_iro tho cliroctioit c»si«_w of tho normal to the wave, and » the. yolonty of propstgtdion, Thwi, MrroHpgmiinir to feu. we may huvc in th« nam, body whil, in _ttlt)ti_on phenomena that may hkewuw be dwuTiW _tt« a propagation of light waves, and which are rppnwwitwt by «»xprnHHioiw of tho form

	i, e., on account of (SJ7(J), a COH n (t ..... ^w^" •*•- ^w^' t.^w»'' \ «?» If we put here